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Esther works for a marketing company. She earns [tex]$12 per hour and gets a $[/tex]50 travel allowance every month. Which linear equation could be used to find her monthly pay rate?

A. [tex]\( y = 50x + 12 \)[/tex]
B. [tex]\( y = 12x + 50 \)[/tex]
C. [tex]\( y = 12x \)[/tex]
D. [tex]\( y = 50x \)[/tex]

Sagot :

GinnyAnsweridn
To determine the linear equation that represents Esther's monthly pay rate, we need to account for two components of her earnings: her hourly wage and the fixed monthly travel allowance.

Let's define the variables:
- [tex]\( x \)[/tex] represents the number of hours Esther works in a month.
- [tex]\( y \)[/tex] represents Esther's total monthly pay.

### Step-by-Step Solution:

1. Hourly Wage:
- Esther earns \[tex]$12 per hour. - Therefore, for \( x \) hours worked in a month, her earnings from hours worked would be \( 12x \). 2. Fixed Monthly Travel Allowance: - Esther receives a fixed travel allowance of \$[/tex]50 every month.
- This amount is not dependent on the number of hours worked and is a constant.

3. Total Monthly Pay:
- Her total monthly pay [tex]\( y \)[/tex] is the sum of her earnings from hours worked and the travel allowance.
- Thus, the equation for her total monthly earnings is:
[tex]\[ y = 12x + 50 \][/tex]

### Choosing the Correct Answer:

Given the options:
A. [tex]\( y = 50x + 12 \)[/tex]
B. [tex]\( y = 12x + 50 \)[/tex]
C. [tex]\( y = 12x \)[/tex]
D. [tex]\( y = 50x \)[/tex]

The correct linear equation that represents Esther's monthly pay rate is:

B. [tex]\( y = 12x + 50 \)[/tex]
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